Extensions 1→N→G→Q→1 with N=C₄ and Q=D₁₅

Direct product G=N×Q with N=C₄ and Q=D₁₅

		d	ρ	Label	ID
C₄×D₁₅		60	2	C4xD15	120,27

Semidirect products G=N:Q with N=C₄ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₁₅ = D₆₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄	60	2+	C4:D15	120,28

Non-split extensions G=N.Q with N=C₄ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₁₅ = Dic₃₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄	120	2-	C4.D15	120,26
C₄.₂D₁₅ = C₁₅⋊₃C₈	central extension (φ=1)	120	2	C4.2D15	120,3

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Extensions 1→N→G→Q→1 with N=C4 and Q=D15